State feedback fuzzy-model-based control for discrete-time markovian jump nonlinear systems with time-varying delays

Author(s):  
Min Kook Song ◽  
Jin Bae Park ◽  
Young Hoon Joo ◽  
Jin Kyu Kim
Author(s):  
Natache S. D. Arrifano ◽  
Vilma A. Oliveira

This paper deals with the fuzzy-model-based control design for a class of Markovian jump nonlinear systems. A fuzzy system modeling is proposed to represent the dynamics of this class of systems. The structure of the fuzzy system is composed of two levels, a crisp level which describes the Markovian jumps and a fuzzy level which describes the system nonlinearities. A sufficient condition on the existence of a stochastically stabilizing controller using a Lyapunov function approach is presented. The fuzzy-model-based control design is formulated in terms of a set of linear matrix inequalities. Simulation results for a single-machine infinite-bus power system which is modeled as a Markovian jump nonlinear system in the infinite-bus voltage are presented to illustrate the applicability of the technique.


2009 ◽  
Vol 19 (6) ◽  
pp. 865-871
Author(s):  
Tae-Kue Kim ◽  
Fa-Guang Wang ◽  
Seung-Kyu Park ◽  
Tae-Sung Yoon ◽  
Ho-Kyun Ahn ◽  
...  

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